Question

Prove that the difference between any two corresponding terms of even natural numbers and odd natural number is 1.

Answer 1

Solution:

Consider  a one- one mapping from even natural number to Odd natural number or one-one mapping from odd natural number to even natural number .

Domain= Set of Even Natural numbers={2,4,6,8,10,12,14,....}

Range =Set of Odd Natural numbers={1,3,5,7,9,11,13,....}

The One-One Onto function between two sets can be represented as

2 →1

4→3

6→5

8→7

10→9

12→11

.......

........

As you can see the difference between two corresponding terms of this one-one onto function is always : 2-1=4-3=6-5=8-7=10-9=.................. is always 1.

Answer 2

Answer:Secondary SchoolMath 5+3 pts

Prove that the difference between any two corresponding terms of even natural numbers and odd natural number is 1.

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Answers

Nakshatrapv18 · Ambitious

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CarlynBronk Ambitious

Solution:

Consider a one- one mapping from even natural number to Odd natural number or one-one mapping from odd natural number to even natural number .

Domain= Set of Even Natural numbers={2,4,6,8,10,12,14,....}

Range =Set of Odd Natural numbers={1,3,5,7,9,11,13,....}

The One-One Onto function between two sets can be represented as

2 →1

4→3

6→5

8→7

10→9

12→11

As you can see the difference between two corresponding terms of this one-one onto function is always : 2-1=4-3=6-5=8-7=10-9=1.